If f(x) = arcsin x, then lim x→ A (B C D 0 프6 2 7/7/33 nonexistent f(x)-f( ² ) X is

Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: 22. If f(2)=sin 2, then lim (2)-f(z) z-2 2-2m (A)-2T (B)-1 (C) I (D) 2T

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Q: f'(a) = lim h→0 f(a+h)-f(a) h

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Q: Find an equation of tangent equation is 2x+6y=3. line to the graph of y=x+lax that is perpendicular…

A: We need to find the equation of the tangent line to the graph y=x+ln(x) that is perpendicular to the…

Q: (c) lim →1 是 æ-1 1 T-1 = 3.

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Q: points

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Q: Find the equation of the tangent line to f(x)=5+2x  at  a=2.

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Q: ​a) Graph the function f(x)=2x2−7x+5. ​b) Draw a tangent line to the graph at the point whose​…

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Q: If lim f(x) = = co then f (x) XCOS cos² X00

A: Given- If limx→∞fx=∞ then fx=xcos1x To Prove- The above expression.

Q: For the function f(x) = 8x² + 12x + 25, find f(x + h) – f(x) - f'(x) using the definition lim h>0 h…

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Q: -2 (a) f(1) = (b) f'(0)= -1 (c) Is f'(1.5)>0? ("yes" or "no") (d) lim h-0 f(h-1)-f(-1) h =

A: Note:As, per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

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Q: f(x)=√x −7 lim h→0 f(6+h)−f(6)/h

A: Question is solved.

Q: For the function f(x) = 4x² + 15x + 35, find f(x + h) – f(x) f'(x) using the definition lim h 0 h O…

A: We will use the definition and then use the limit of h goes to 0 to find the derivative of the…

Q: 2. If f(x + y) = f(x) f(y) and if lim (h)-1 6, then f'(x) = = h

A: Introduction: The slope of a tangent line to the curve at any point is expressed by a function's…

Q: X'+2X Lim メーロ 0 @ True eflase laşe 8.

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Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

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Q: If y = f(x) is a function that is differentiable everywhere, then f(-e) – f(-e – h) f' (-e) = lim ,h…

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Q: For the function y = f(x), find f'(a) using man lim = F(x) = x² + 7x, a = 3 f'(a) =

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Q: lim tan-¹(e* + ln x) x→0+

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Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: f" (h+x)-j" (x) li h→0

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Q: x° +2y² +x*y lim (* ,y') → (0, 0) x* +3y - x*y

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Q: Why is limx→0(cos(x2))=0 but limx→0(cos(x-2)) is not defined?

A: We have to show  but  doesnot existNote: It is given  which is incorrect,  is correct